Mathematics 0580 · IGCSE · Probability of combined events

Probability of combined events — practice question

The diagram illustrates two card sets. Set A includes: 1, 1, 2, 2, 2. Set B includes: 0, 1, 1, 1, 2.
(a(i))[3]

Jojo picks two cards at random from Set A without replacement. Find the probability that the two cards have the same number.

(a(ii))[3]

Find the probability that the two cards match in number.

(a(iii))[1]

Who is most likely to pick two cards with the same number? Show all your working.

(b)[3]

Find the probability that the third card selected is a 4.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate probability calculation with $\frac{8}{20}$

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